What is Histograms

Meaning

Ahistogramshows the frequency of elements that are present within a certain range of values. AHistogramhas the following characteristics:

It is a graphical representation of a single dataset, which is tallied into classes.

Here frequency is defined as the number of values that can tally into each class.

Ahistogramcomprises of a series of rectangles, the widths of which are defined by the limits of the classes, the heights of these are determined by the frequency in each interval.

A RelativeHistogramhas the two characteristics. First, a Relative frequency is defined as the portion of times a value occurs, and this is actually the frequency of value or values divided by the number of observations in the given set. Second, a Relative frequencyhistogramis made by taking the relative frequencies as heights of the rectangles.

Needs of Histograms

Histogramsare generally of great use given that they help in data summarization which can give information like the general shape of the distribution, or the symmetry of the distribution, and the modality as to whether it is bimodal, uni-modal, or multimodal. The histogram in a frequency distribution can also be converted into aprobabilitydistribution by dividing the tally in each group by the total number of data points which will give the relative frequency.

Overview of Histograms

By using Histogram we get the graphical summary of a data distribution. The management and operation of frequency tabulated data can be made much simpler in case of Frequency Distribution and Histograms as compared to that of raw data. A frequency distribution is called as skewed when it has different values formeanandmedianare. Similarly, the kurtosis of a frequency distribution depicts how peaked the distribution may appear if it is presented graphically like say in the form of a histogram. This is the reason why Histograms can be easy tools that can be used to depict the Frequency Distribution of a value.

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